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132100200 = 233352171439
BaseRepresentation
bin1111101111110…
…11000001101000
3100012120101102000
413313323001220
5232304201300
621035211000
73162555531
oct767730150
9305511360
10132100200
1168626921
12382a6a60
13214a26cb
1413789688
15b8e5c00
hex7dfb068

132100200 has 192 divisors, whose sum is σ = 482112000. Its totient is φ = 33131520.

The previous prime is 132100187. The next prime is 132100291. The reversal of 132100200 is 2001231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91081 + ... + 92519.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2132100200 is an apocalyptic number.

132100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

132100200 is an abundant number, since it is smaller than the sum of its proper divisors (350011800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132100200 is a wasteful number, since it uses less digits than its factorization.

132100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132100200 is about 11493.4851111401. The cubic root of 132100200 is about 509.2931383873.

Adding to 132100200 its reverse (2001231), we get a palindrome (134101431).

The spelling of 132100200 in words is "one hundred thirty-two million, one hundred thousand, two hundred".